A Possible Explanation of Low Energy $\gamma$-ray Excess from Galactic Centre and Fermi Bubble by a Dark Matter Model with Two Real Scalars

We promote the idea of multi-component Dark Matter (DM) to explain results from both direct and indirect detection experiments. In these models as contribution of each DM candidate to relic abundance is summed up to meet WMAP/Planck measurements of $\Omega_{\rm DM}$, these candidates have larger annihilation cross-sections compared to the single-component DM models. This results in larger $\gamma$-ray flux in indirect detection experiments of DM. We illustrate this fact by introducing an extra scalar to the popular single real scalar DM model. We also present detailed calculations for the vacuum stability bounds, perturbative unitarity and triviality constraints on this model. As direct detection experimental results still show some conflict, we kept our options open, discussing different scenarios with different DM mass zones. In the framework of our model we make an interesting observation: The existing direct detection experiments like CDMS II, CoGeNT, CRESST II, XENON 100 or LUX together with the observation of excess low energy $\gamma$-ray from Galactic Centre and Fermi Bubble by FGST already have the capability to distinguish between different DM halo profiles.